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Math Help - indefinite integrals

  1. #1
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    indefinite integrals

    I'm working through my exercise book quite happily finding indefinite integrals using the table of indefinite integrals, I have come across this one and have been staring at it for an hour unable to understand how this answer is derived.


    <br />
 \int \frac{-6}{x^4} dx<br />

    I know the answer is

    <br />
 \frac{2}{x^3} +c<br />
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by macca101
    I'm working through my exercise book quite happily finding indefinite integrals using the table of indefinite integrals, I have come across this one and have been staring at it for an hour unable to understand how this answer is derived.


    <br />
 \int \frac{-6}{x^4} dx<br />

    I know the answer is

    <br />
 \frac{2}{x^3} +c<br />
    Bog standard power integral:

    <br />
 \int \frac{-6}{x^4} dx=-6 \int x^{-4} dx=(-6)(-1/3)x^{-3}+c= \frac{2}{x^3} +c<br />

    RonL
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